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dc.contributor.authorManschot, Janen
dc.date.accessioned2018-01-24T16:52:04Z
dc.date.available2018-01-24T16:52:04Z
dc.date.issued2017en
dc.date.submitted2017en
dc.identifier.citationSergey Alexandrov, Sibasish Banerjee, Jan Manschot, Boris Pioline, Multiple D3-instantons and mock modular forms II, Communications in Mathematical Physics, 353, 1, 2017, 379-411en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/82268
dc.descriptionPUBLISHEDen
dc.description.abstractWe analyze the modular properties of D3-brane instanton correct ions to the hy- permultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for the existence of an is ometric action of S-duality on this moduli space: the generating function of DT invariants in the large volume attrac- tor chamber must be a vector-valued mock modular form with specifi ed modular properties. In this work, we prove that this condition is also sufficient at two-inst anton order. This is achieved by producing a holomorphic action of SL (2 , Z ) on the twistor space which preserves the holomorphic contact structure. The key step is to cancel the anomalous modular variation of the Darboux coordinates by a local holomorphic contact transf ormation, which is generated by a suitable indefinite theta series. For this purpose we introduce a new family of theta series of signature (2 ,n − 2), find their modular completion, and conjecture sufficient conditio ns for their convergence, which may be of independent mathematical inte rest.en
dc.format.extent379-411en
dc.language.isoenen
dc.relation.ispartofseriesCommunications in Mathematical Physicsen
dc.relation.ispartofseries353en
dc.relation.ispartofseries1en
dc.rightsYen
dc.titleMultiple D3-instantons and mock modular forms IIen
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/manschojen
dc.identifier.rssinternalid151610en
dc.identifier.doihttp://doi.org/10.1007/s00220-016-2799-0en
dc.rights.ecaccessrightsopenAccess
dc.subject.TCDThemeDigital Engagementen
dc.subject.TCDTagTheoretical Physicsen
dc.identifier.rssurihttps://arxiv.org/abs/1702.05497en
dc.identifier.orcid_id0000-0002-6506-7084en
dc.status.accessibleNen


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